login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A183998 Number of (n+1) X 5 0..2 arrays with all 2 X 2 subblock sums the same. 1

%I #8 Apr 09 2018 13:00:49

%S 855,1233,1887,3309,6111,12525,26655,61125,144495,361293,925647,

%T 2471829,6713631,18762045,52968255,152326725,440454735,1288454253,

%U 3779340207,11166335349,33034529151,98175588765,291944589855,870672034725

%N Number of (n+1) X 5 0..2 arrays with all 2 X 2 subblock sums the same.

%C Column 4 of A184003.

%H R. H. Hardin, <a href="/A183998/b183998.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 6*a(n-1) - 60*a(n-3) + 85*a(n-4) + 150*a(n-5) - 360*a(n-6) + 396*a(n-8) - 216*a(n-9).

%F Empirical g.f.: 3*x*(285 - 1299*x - 1837*x^2 + 14429*x^3 - 4146*x^4 - 47992*x^5 + 37500*x^6 + 49140*x^7 - 48600*x^8) / ((1 - x)*(1 - 2*x)*(1 - 3*x)*(1 - 2*x^2)*(1 - 3*x^2)*(1 - 6*x^2)). - _Colin Barker_, Apr 09 2018

%e Some solutions for 3 X 5:

%e ..2..0..1..0..2....2..1..2..1..0....2..0..1..1..2....1..1..1..2..1

%e ..1..2..2..2..1....0..1..0..1..2....0..2..1..1..0....0..1..0..0..0

%e ..1..1..0..1..1....2..1..2..1..0....1..1..0..2..1....2..0..2..1..2

%Y Cf. A184003.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 08 2011

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 8 17:32 EDT 2024. Contains 372340 sequences. (Running on oeis4.)